LCM of 9 and 6 is equal to 18. The comprehensive work provides more insight of how to find what is the lcm of 9 and 6 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 9 and 6?
lcm (9 6) = (?)
9 => 3 x 3
6 => 2 x 3
= 3 x 3 x 2
= 18
lcm (9 and 6) = 18
18 is the lcm of 9 and 6.
where,
9 is a positive integer,
6 is a positive integer,
18 is the lcm of 9 and 6,
{3} in {3 x 3, 2 x 3} is the common factors of 9 and 6,
{3 x 2} in {3 x 3, 2 x 3} are the uncommon factors of 9 and 6.
Use in Mathematics: LCM of 9 and 6
The below are some of the mathematical applications where lcm of 9 and 6 can be used:
The below solved example with step by step work shows how to find what is the lcm of 9 and 6 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 9 and 6?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 9
B = 6
What to be found:
find the lcm of 9 and 6
step 2 Find the prime factors of 9 and 6:
Prime factors of 9 = 3 x 3
Prime factors of 6 = 2 x 3
step 3 Identify the repeated and non-repeated prime factors of 9 and 6:
{3} is the most repeated factor and {3 x 2} are the non-repeated factors of 9 and 6.
step 4 Find the product of repeated and non-repeated prime factors of 9 and 6:
= 3 x 3 x 2
= 18
lcm(9 and 6) = 18
Hence,
lcm of 9 and 6 is 18
2 | 9 | 6 |
3 | 9 | 3 |
3 | 3 | 1 |
1 | 1 |